Schwarz's Lemma from a differential geometric viewpoint /
Kim, Kang-Tae, 1957-
Schwarz's Lemma from a differential geometric viewpoint / Kang-Tae Kim, Hanjin Lee. - Singapore : World Scientific Pub. Co. Pte. Ltd., 2010. - 1 online resource (xiii, 82 pages) - IISc lecture notes series ; 2 . - IISc lecture notes series ; 2. .
Includes bibliographical references (pages 77-79) and index.
Series Preface; Preface; Contents; Chapter 1 Some Fundamentals; Chapter 2 Classical Schwarz's Lemma and the Poincaré Metric; Chapter 3 Ahlfors' Generalization; Chapter 4 Fundamentals of Hermitian and Kählerian Geometry; Chapter 5 Chern-Lu Formulae; Chapter 6 Tamed Exhaustion and Almost Maximum Principle; Chapter 7 General Schwarz's Lemma by Yau and Royden; Chapter 8 More Recent Developments; Bibliography; Index.
The subject matter in this volume is Schwarz's lemma which has become a crucial theme in many branches of research in mathematics for more than a hundred years to date. This volume of lecture notes focuses on its differential geometric developments by several excellent authors including, but not limited to, L. Ahlfors, S.S. Chern, Y.C. Lu, S.T. Yau and H.L. Royden. This volume can be approached by a reader who has basic knowledge on complex analysis and Riemannian geometry. It contains major historic differential geometric generalizations on Schwarz's lemma and provides the necessary informati.
9789814324786 (electronic bk.) 9814324787 (electronic bk.) 9789814324793 (electronic bk.) 9814324795 (electronic bk.) 1283145162 9781283145169
015686140 Uk
Holomorphic functions.
Holomorphic mappings.
Schwarz function.
Fonctions holomorphes.
Applications holomorphes.
Fonction de Schwarz.
MATHEMATICS--Complex Analysis.
Holomorphic functions.
Holomorphic mappings.
Schwarz function.
Electronic books.
Electronic books.
Electronic books.
QA331 / .K56 2010eb
515.9
Schwarz's Lemma from a differential geometric viewpoint / Kang-Tae Kim, Hanjin Lee. - Singapore : World Scientific Pub. Co. Pte. Ltd., 2010. - 1 online resource (xiii, 82 pages) - IISc lecture notes series ; 2 . - IISc lecture notes series ; 2. .
Includes bibliographical references (pages 77-79) and index.
Series Preface; Preface; Contents; Chapter 1 Some Fundamentals; Chapter 2 Classical Schwarz's Lemma and the Poincaré Metric; Chapter 3 Ahlfors' Generalization; Chapter 4 Fundamentals of Hermitian and Kählerian Geometry; Chapter 5 Chern-Lu Formulae; Chapter 6 Tamed Exhaustion and Almost Maximum Principle; Chapter 7 General Schwarz's Lemma by Yau and Royden; Chapter 8 More Recent Developments; Bibliography; Index.
The subject matter in this volume is Schwarz's lemma which has become a crucial theme in many branches of research in mathematics for more than a hundred years to date. This volume of lecture notes focuses on its differential geometric developments by several excellent authors including, but not limited to, L. Ahlfors, S.S. Chern, Y.C. Lu, S.T. Yau and H.L. Royden. This volume can be approached by a reader who has basic knowledge on complex analysis and Riemannian geometry. It contains major historic differential geometric generalizations on Schwarz's lemma and provides the necessary informati.
9789814324786 (electronic bk.) 9814324787 (electronic bk.) 9789814324793 (electronic bk.) 9814324795 (electronic bk.) 1283145162 9781283145169
015686140 Uk
Holomorphic functions.
Holomorphic mappings.
Schwarz function.
Fonctions holomorphes.
Applications holomorphes.
Fonction de Schwarz.
MATHEMATICS--Complex Analysis.
Holomorphic functions.
Holomorphic mappings.
Schwarz function.
Electronic books.
Electronic books.
Electronic books.
QA331 / .K56 2010eb
515.9